PARTIAL REGULARITY OF WEAK SOLUTIONS TO MAXWELL'S EQUATIONS IN A QUASI-STATIC ELECTROMAGNETIC FIELD

被引：0

作者：

Hong, Min-Chun ^{[1
]}

Tonegawa, Yoshihiro ^{[2
]}

Yassin, Alzubaidi ^{[1
]}

机构：

[1] Univ Queensland, Dept Math, Brisbane, Qld 4072, Australia

[2] Hokkaido Univ, Dept Math, Sapporo, Hokkaido 0600810, Japan

来源：

METHODS AND APPLICATIONS OF ANALYSIS | 2008年 / 15卷 / 02期

关键词：

Partial regularity; elliptic systems; parabolic systems;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study Maxwell's equations in a quasi-static electromagnetic field, where the electrical conductivity of the material depends on the temperature. By establishing the reverse Holder inequality, we prove partial regularity of weak solutions to the non-linear elliptic system and the non-linear parabolic system in a quasi-static electromagnetic field.

引用

页码：205 / 221

页数：17

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